scholarly journals Representation Formulas for Hardy Space Functions Through the Cuntz Relations and New Interpolation Problems

2012 ◽  
pp. 161-182 ◽  
Author(s):  
Daniel Alpay ◽  
Palle Jorgensen ◽  
Izchak Lewkowicz ◽  
Itzik Marziano
Keyword(s):  
Hardy Space ◽  
Representation Formulas ◽  
Interpolation Problems ◽  
Cuntz Relations

The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series

2008 ◽  
Vol 45 (3) ◽  
pp. 321-331
Author(s):  
István Blahota ◽  
Ushangi Goginava
Keyword(s):  
Fourier Series ◽  
Hardy Space ◽  
Maximal Operator ◽  
Fejér Means

In this paper we prove that the maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series is not bounded from the Hardy space H2/3 ( G2 ) to the space L2/3 ( G2 ).

Application of Atomic Functions to Interpolation Problems

2000 ◽  
Vol 54 (11-12) ◽  
pp. 23-37
Author(s):  
Victor Filippovich Kravchenko ◽  
Vladimir Alexeevich Rvachev
Keyword(s):  
Interpolation Problems

The range of block Hankel operators

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3237-3243
Author(s):  
In Hwang ◽  
In Kim ◽  
Sumin Kim
Keyword(s):  
Hardy Space ◽  
Invariant Subspace ◽  
Hankel Operators ◽  
Coprime Factorization ◽  
Backward Shift ◽  
Vector Valued

In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2Cn and the left coprime factorization of its symbol. Given a subset F ? H2Cn, we also consider the smallest invariant subspace S*F of the backward shift S* that contains F.

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